Mathematical Papers

• Fractal Polytopes "studies the properties of fractals formed by repeatedly replacing a polytope with smaller polytopes at its vertices." tex file, dvi file, compressed postscript file. [Only the postscript file includes the nifty cool pictures and diagrams.]

• Denesting Radical Expressions Through Galois Theory, an introductory survey to Susan Landau's work on the subject. tex file, dvi file, postscript file.

• Networks Minimizing Length Plus the Number of Steiner Points (by Joel Foisy, Thomas Colthurst, Chris Cox, Hugh Howards, Kathryn Kollett, Holly Lowy, and Stephen Root). [A version of this paper appeared in the book Network Optimization Problems: Algorithms, Complexity, and Applications, Ding-Zhu Du and Panos M. Pardalos, editors. (World Scientific, 1993, pp. 23-36). tex file, dvi file, postscript file.

• Networks Minimizing Length Plus the Number of Steiner Points [Expanded version with same authors. Contains results on flow dependent networks and the parameterization of soap bubbles.] tex file, dvi file, postscript file.

• Quadratic Forms, Pythagorean Triples, and the Equation Sum of x^k = (Sum x)^2 (by Cordelia Aitkin, Thomas Colthurst, Kathryn Kollett, Steven Levandosky, Andrew Perry, and Eugene Stern). tex, dvi, postscript.

• On the Diophantine Equation Sum x^k = (Sum x)^2 [A compressed version of the above paper with the same authors]. tex, dvi, postscript.

• Range Checking via Extended Single Static Assignment Form. [In Progress]. tex file, dvi file, postscript file.

• Topics in Iterated Function System Theory, Including Fractal Image Compression. [Book in Progress]. dvi file.

• When is a 2-Reptile a 3-Reptile?. [In Progress]. tex file, dvi file, postscript.

• Multidimensional Wavelets. [My PhD thesis.] dvi file, compressed postscript file.